You need to be careful when adding a private video to collections, because the privacy settings of Channels, Groups, Albums, and Portfolios will often override the privacy settings for your individual video. To remove your video from any of the collections it's currently in, go to the Collections tab in your video settings and either uncheck the box next to the desired collection. Don't forget to hit "Save" before leaving your video settings.
A video added through a public collection can be indexed through Google, but can only be accessed through the collection. If it's restricted for privacy with a password, it'll only be viewable with that password. Though it may be indexed and show up in search results, the video's privacy is not overridden.
Channels and Groups
The privacy settings of Channels and Groups will always override the privacy settings for your individual video. For example, a password-protected video added to a public Channel will be accessible to anyone who views that Channel.
Not all private videos can be added to Channels and Groups. Videos with the privacy settings privacy settings “Only people with the private link” or “Hide this video from vimeo.com” cannot be added to Channels or Groups, since doing so would allow the video to be discoverable on Vimeo.
If you add any of your private videos to a public album, the private videos in that album will only be visible to you (the video owner).
If you add any of your private videos to a password-protected album, people with access to the album will see the private videos after entering the album password.
The privacy settings of Portfolios will always override the privacy settings for your individual video. A private video added to a public Portfolio will be accessible to anyone with the link to the Portfolio. A private video added to a password-protected Portfolio will be accessible to anyone with the Portfolio password.
Anyone who you share your private video's review page link with will be able to see your private video, unless it is password-protected. If your video is password-protected, anyone who you share your review page link with will need to enter the video password before they can view your review page.